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Effects Of A Magnetic Field On Natural Convection In A Toroidal Channel

Description: The problem of the natural convection of an electrically and thermally conducting fluid within a long, narrow, vertical toroidal channel centered in a large block of an electrically and thermally conducting solid is analyzed. A uniform horizontal magnetic field is applied to the fluid, and the bottom of the solid block is maintained at a higher fixed temperature than the top. The laminar steady-state single-cell convective motion of the fluid is considered and an approximate solution is found f… more
Date: February 1961
Creator: Concus, Paul
Partner: UNT Libraries Government Documents Department
open access

Object-oriented parallel algorithms for computing three-dimensional isopycnal flow

Description: In this paper, we derive an object-oriented parallel algorithm for three-dimensional isopycnal flow simulations. The matrix formulation is central to the algorithm. It enables us to apply an efficient preconditioned conjugate gradient linear solver for the global system of equations, and leads naturally to an object-oriented data structure design and parallel implementation. We discuss as well, in less detail, a similar algorithm based on the reduced system, suitable also for parallel computati… more
Date: December 1, 2000
Creator: Concus, Paul; Golub, Gene H. & Sun, Yong
Partner: UNT Libraries Government Documents Department
open access

Computational investigation of unusual behavior in certain capillary tubes

Description: We investigate computationally two recent mathematical findings involving unusual behavior of solutions of the Young-Laplace capillary equation in cylindrical tubes of particular sections. The first concerns a configuration for which smoothing of the boundary curve at a sharp corner leads from existence to non-existence of a solution over the container section in zero gravity. The second describes a discontinuous behavior of relative rise height in nesting tubes placed vertically in an infinite… more
Date: March 12, 2004
Creator: Brady, Victor; Concus, Paul & Finn, Robert
Partner: UNT Libraries Government Documents Department
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